Is 871 a prime number?

The number 871 has got 4 factors, that are capable of dividing the number completely without leaving any remainder. Thus, the number 871 is a non-prime number. The factors of 871 include 1, 7, 124, and 871.

A number to be a prime number should follow the criteria, which is that it should not have factors more than 2. Here, 871 has more than 2 factors, hence making it a composite number.

Given below are a few ways that can be used to find prime or composite numbers.

The different methods we can use to check if a number is a prime number are explained below:

1. Counting Divisors Method
2. Divisibility Test
3. Prime Number Chart
4. Prime Factorization
    

For the counting divisors method, it is to be checked whether the number is divisible by any numbers other than 1 and the number itself.

The counting divisors method for 871 would simply be:

Divisors of 871 = 1, 7, 124, 871
Number of divisors = 4

The number 871 can be considered composite.

In the division test, we try to divide the number by any of the prime numbers. If we cannot, then it is considered a prime number.

In the divisibility method, the prime number only has 2 divisors, which are 1 and itself.

The divisors of 871 are 1, 7, 124, and 871.

Thus, 871 consists of 4 factors that divide it completely without any remainder.

The prime number chart is the list of prime numbers starting from 2 to infinity.

The list of prime numbers under 100 are:
2, 3, 5, 7, 11, 13, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

871 is not present in the list, so it is not a prime number.

This method is only used for a non-prime number/composite number. Since 871 is a composite number, the prime factorization for 871 is:

Factors of 871 = 7 × 124

Prime Number: A number greater than 1 that has only two divisors: 1 and itself. Example: 2, 3, 5, 7, 11.

Composite Number: A number greater than 1 that has more than two divisors. Example: 4, 6, 9, 12.

Divisors: The numbers that can exactly divide another number without leaving a remainder. For 1249, the divisors are 1, 11, 113, and 1249.

Divisibility Test: A method used to check if a number can be divided by another number without leaving a remainder, helping to determine if a number is prime or composite.

Prime Factorization: Breaking down a number into its prime factors. For 1249, the prime factorization is 11 × 113, showing it’s a composite number.